On the Coordinate Functions of Lévy's Dragon Curve
On the Coordinate Functions of Lévy's Dragon Curve
Lévy's dragon curve [P.Lévy, Les courbes planes ou gauches et les surfaces composées de parties semblables au tout, J. Ecole Polytechn., 227-247, 249-291 (1938)] is a well-known self-similar planar curve with non-empty interior.We derive an arithmetic expression for the coordinate functions of Lévy's dragon curve, and show that the 3 …